泣かなくて

without crying; not cry

→ 泣く
泣か to cry, to weep + なくて Negative te-form
verb · informal Rare #43,248
without crying; not cry Often used with いい to mean “don’t have to cry.”
JA: 泣かなくていいよ。
EN: You don’t have to cry.
Conjugation of 泣く
Present
Past
Indicative present
Desiderative
Potential
Conditional

泣かなくていい

You don't have to cry.

— キャッチ・ミー・イフ・ユー・キャン (2002)

そんなに泣かなくてもいいよ。

You don’t have to cry so much.

泣かなくてもいいじゃないですか細田さん

You don't have to cry, Mr. Hosoda.

— One Cut of the Dead (2017)

大丈夫、泣かなくても大丈夫。

It’s okay, you don’t have to cry.